sg
O‘zbekcha

ABOUT GEOMETRY ON SUBSPACES IN

Authors

  • Mamadaliev Botirjon Mullaaminovich

    Fergana State University
  • Davlatboeva Madinabonu Ikromjonovna

    Fergana State University

Keywords:

Manifold, subspace, pseudoisotropic spaces, hyperbolic spaces, degenerate metric, isotropic vectors, sphere of real, imaginary, zero radius, isotropic cone

Abstract

The paper investigates geometry and its manifolds on subspaces, a five-dimensional pseudo-Euclidean space of index two. Geometry in the sphere of real radius is defined. The existence of all hyperbolic spaces of dimension three and some four-dimensional hyperbolic spaces is proved, as well as a manifold of maximum dimension.

Author Biographies

  • Mamadaliev Botirjon Mullaaminovich, Fergana State University

    Fergana State University, Doctor of Philosophy of Physical and Mathematical Sciences (PhD)

  • Davlatboeva Madinabonu Ikromjonovna, Fergana State University

    student at Fergana State University

References

Владимиров Ю.С., Геометрофизика. – М.: БИНОМ. Лаборотория знаний, 2006. – 600 стр.

. Розенфельд Б.А. Неевклидовы пространства. М.: Наука, 1969. - 548с.

. А.Артыкбаев., Соколов Д. Д. Геометрия в целом в плоском пространсве – времени, Ташкент: Фан, 1990., 180с.

. Artykbaev A., Sultanov B.M. Invariants of a second-order curves under a special linear transformation // Uzbek mathematical journal. №3. (2019), pp.19-26.

. Artykbayev A., Mamadaliyev B.M. Geometry of Two-Dimensional Surfaces in Space // Lobachevskii Journal of Mathematics, 2023. Volume 44, Issue 4. –P. 1243-1247. (3. Scopus Q2, Cite Score IF=0.42).

. Mamadaliyev B.M. Geometry of complete two-dimensional surfaces in a five-dimensional pseudo-euclidean space of index two // Bulletin of the Institute of Mathematics, 2023. Volume. 6, Issue 2, –P 31-43. (01.00.00. № 6).

Downloads

Published

2024-09-12